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arXiv · 2205.06298

Categorifying quadratic zeta functions

Jon Aycock·Andrew Kobin
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Abstract

The Dedekind zeta function of a quadratic number field factors as a product of the Riemann zeta function and the $L$-function of a quadratic Dirichlet character. We categorify this formula using objective linear algebra in the abstract incidence algebra of the division poset.

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Jon Aycock, Andrew Kobin. 2022-05-12. Categorifying quadratic zeta functions. https://arxiv.org/abs/2205.06298

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